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Quantum Information Scrambling in Adiabatically Driven Critical Systems
Ricardo Puebla1, Fernando J Gómez-Ruiz2
1Departamento de Física, Universidad Carlos III de Madrid, Avda. de la Universidad 30, 28911 Leganés, Spain.
Entropy (Basel, Switzerland)
|November 27, 2024
Summary
Quantum information scrambling spreads initial data across many quantum system parts. This study shows scrambling occurs even during slow, adiabatic evolution in critical systems, hindering information retrieval.
Area of Science:
- Quantum physics
- Many-body systems
- Information theory
Background:
- Information scrambling describes how quantum information spreads in many-body systems.
- It's typically studied after sudden changes (quenches) and linked to thermalization.
- Scrambling in critical systems under slow (adiabatic) evolution is less understood.
Purpose of the Study:
- Extend quantum information scrambling to critical quantum many-body systems undergoing adiabatic evolution.
- Analyze how symmetry-breaking information scrambles during adiabatic driving.
- Investigate the mechanism and quantify scrambling in integrable models.
Main Methods:
- Studied adiabatic evolution in Lipkin-Meshkov-Glick and quantum Rabi models.
- Used a time-dependent protocol to drive systems between phases.
- Analyzed observable expectation values and eigenstate participation to quantify scrambling.
- Calculated Loschmidt echo and out-of-time-ordered correlators to assess information retrieval.
Main Results:
- Demonstrated quantum information scrambling occurs even in perfect adiabatic evolutions.
- Showed scrambling of symmetry-breaking information during adiabatic driving from a symmetry-breaking to a normal phase.
- Quantified scrambling by the number of participating eigenstates.
- Found information retrieval is fragile to perturbations, evidenced by vanishing Loschmidt echo and OTOCs.
Conclusions:
- Quantum information scrambling is a feature of adiabatic evolution in critical systems, not just sudden quenches.
- The mechanism involves scrambling of relative phases among eigenstates.
- The phenomenon is experimentally verifiable and crucial for understanding information dynamics in critical quantum systems.
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